Love Wave at a Layer Medium Bounded by Irregular Boundary Surfaces

Abstract

The problem of the propagation of a Love wave in a corrugated isotropic layer over a homogeneous isotropic half-space has been investigated. The dispersion relation of Love wave propagation in a corrugated layer medium bounded by irregular boundaries is derived. In special cases, the dispersion relation is reduced for the corrugated layers bounded by periodic boundary surfaces, d cos px, d1cos px and d2cos px. The dispersion relation is found to be a function of the amplitudes of the corrugation, frequency and position parameters of the corrugated boundary surfaces. The results of Ewing et al. and results similar to Noyer are recovered from our analysis. The phase velocity and group velocity of Love waves are computed numerically and the results are depicted graphically.